Seriously think about this guys. These games represent small skirmishes. Even if you are absolutely terrified, are you just going to run away? No, you'll duck into cover and hide until it's safe to run.
Now consider how long these battles last... 6 turns. Considering that a MI trooper walks 8" a turn, and that's what? About 60feet (20m)? Let's say that's a slow walk (moving from cover to cover, ducking down from incoming fire), so they're moving about 2mph (that's REALLY slow). So over the course of a battle, your troops could move a max of 360ft. If my math is right, that puts the average skirmish at 2 minutes. Sure, we can maybe add a little time for giving and receiving orders, but this is really just a small skirmish, so by the time anyone is terrified enough to run, and then gets their wits about them to actually do so, the battle is probably already over.